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Finding the Third Proportional to 30,193 and 66,361

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Solution

The third proportional to 30,193 and 66,361 is: 145,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193 : 66,361 = 66,361 : x
  2. Step 2: Convert to fraction form
    30,193/66,361 = 66,361/x
  3. Step 3: Cross multiply
    30,193x = 66,361 × 66,361
  4. Step 4: Simplify right side
    30,193x = 4,403,782,321
  5. Step 5: Solve for x
    x = 4,403,782,321/30,193
  6. Step 6: Final answer
    x = 145,854.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.